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Finding the Fourth Proportional to 1,727.81, 2,384.36 and 941.85

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Solution

The fourth proportional to 1,727.81, 2,384.36 and 941.85 is: 1,299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.81 : 2,384.36 = 941.85 : x
  2. Step 2: Convert to fraction form
    1,727.81/2,384.36 = 941.85/x
  3. Step 3: Cross multiply
    1,727.81x = 2,384.36 × 941.85
  4. Step 4: Simplify right side
    1,727.81x = 2,245,697.54
  5. Step 5: Solve for x
    x = 2,245,697.54/1,727.81
  6. Step 6: Final answer
    x = 1,299.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.